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Title: Extending the applicability of an Ulm-Newton-like method under generalized conditions in Banach space
Authors: Argyros I.K.
George S.
Issue Date: 2020
Citation: Transactions of A. Razmadze Mathematical Institute Vol. 174 , 1 , p. 15 - 22
Abstract: The aim of this paper is to extend the applicability of an Ulm-Newton-like method for approximating a solution of a nonlinear equation in a Banach space setting. The sufficient local convergence conditions are weaker than those in the earlier works leading to a larger radius of convergence and more precise error estimations on the distances involved. Numerical examples are also provided. © 2020 A. Razmadze Mathematical Institute of Iv. Javakhishvili Tbilisi State University. All rights reserved.
Appears in Collections:1. Journal Articles

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